Starting with the inequality -28 + 5(7 - x) ≤ -2(x + 4), we can simplify it step by step:
-28 + 5(7 - x) ≤ -2(x + 4)
-28 + 35 - 5x ≤ -2x - 8
7 - 5x ≤ -2x - 8
Adding 5x to both sides:
7 - 5x + 5x ≤ -2x - 8 + 5x
7 ≤ -2x - 8 + 5x
Simplifying:
7 ≤ 3x - 8
Adding 8 to both sides:
7 + 8 ≤ 3x - 8 + 8
15 ≤ 3x
Dividing by 3 (since it's positive) to isolate x:
15/3 ≤ 3x/3
5 ≤ x
So the solution is x ≥ 5.
Solve the inequality for x.
-28+5(7-x)≤-2(x+4)
Simplify your answer as much as possible.
1 answer